CN113049534A - Method and computing device for determining light spot distribution in multiple gas reflecting chambers - Google Patents

Abstract

The invention discloses a method for determining the distribution of light spots in a multi-reflection chamber, comprising: establishing an optical model of the multiple-reflection chamber, so as to determine the path of light in the multiple-reflection chamber according to the optical model, and the path information includes the number of reflections of the light and the The light spot distribution pattern formed by the light on the spherical mirror; the relative distance range of the two spherical mirrors is set, and the relative distance array is constructed based on the predetermined distance interval; for each relative distance value in the relative distance array, the light rays are respectively set to a predetermined initial incidence The point coordinates and the predetermined initial incident angle are incident, and the path of the light rays is determined; the path with the number of reflections within the range of the predetermined number of reflections and the spot spacing within the predetermined spot spacing range is selected as the candidate path, and the candidate path set and the corresponding candidate spot pattern set are generated. . In addition, the present invention also discloses a corresponding computing device. The method according to the present invention is beneficial to improve the sensitivity and stability of the multi-anti-gas chamber in practical spectral detection applications.

Description

Method and computing device for determining light spot distribution in a multi-reflection chamber

technical field

The invention relates to the technical field of spectral detection, in particular to a method and computing device for determining the distribution of light spots in a multi-reflection gas chamber.

Background technique

Optical multi-reflection gas cells have been widely used in tunable diode laser absorption spectroscopy (TDLAS) technology, which can achieve a long optical path in a relatively small volume, thereby improving the detection sensitivity and reducing the detection limit. The optical multi-reflection chamber requires fine adjustment of the mirrors in the chamber to ensure that the light beam enters the multi-reflection chamber through the entrance hole, and exits from the exit hole after a specific number of back and forth reflections. According to the Lambert-Beer law, increasing the action distance between the light and the sample can increase the amplitude of the absorption signal, thereby effectively improving the spectral detection sensitivity. Multiple reflections are an effective way to achieve a long optical path. In the fields of scientific research, environmental protection, coal mine gas monitoring and other fields, the spectral absorption method is used to analyze and detect trace gases, such as methane, carbon monoxide, oxygen, etc., which requires a multi-reaction chamber with a long optical path. The longer the optical path, the lower the lower limit of detectable concentration. .

Currently commonly used multi-reflection chambers are: White chamber, Herriott chamber, Chernin chamber and discrete mirror chamber. Among them, the White-type multi-reflection chamber can realize multiple reflections of light beams in the multi-reflection chamber, but its design itself has some shortcomings, such as too large volume, poor stability, and low effective utilization of mirror surfaces, which limit the White chamber’s performance. Scope of application. Chernin-type multi-reflection chamber is an optical multiple-reflection chamber improved on the basis of White-type multiple-reflection chamber. The absorption optical path can be changed at any time according to needs, but its complex structure and large volume limit its use in miniaturized instruments. applications in . The Herriott gas cell is composed of two identical spherical mirrors that are coaxially symmetrical, and the reflected light spot on the mirror presents a single circular or elliptical pattern, resulting in a low utilization rate of the cavity mirror area. The discrete mirror multi-reflection air chamber overcomes the shortcomings of the Herriott type multi-reflection air chamber, improves the utilization rate of the cavity mirror area, and can form a Lissajous figure spot distribution on the mirror surface, but the processing cost of the discrete lens is high, and the yield Low.

In traditional optical multi-reflection chambers based on ordinary spherical mirrors such as Herriott chambers, when the light spots do not overlap, the reflected spot of light on the reflector can only produce a circular or elliptical pattern, and there is an effective use of the mirror surface. It is difficult to achieve a high number of reflections in a multi-reflection chamber with a miniaturized structure.

Therefore, it is necessary to design a method for determining the light spot distribution in the multi-reflection chamber, so as to improve the utilization rate of the mirror surface of the multi-reflection chamber in practical applications, so that the light can achieve higher reflection times and light intensity in the small multi-reflection chamber. Procedure.

SUMMARY OF THE INVENTION

To this end, the present invention provides a method for determining the light spot distribution in a multi-reflection chamber, so as to solve or at least alleviate the above problems.

According to one aspect of the present invention, there is provided a method for determining a light spot distribution in a multi-reflection chamber, the multiple-reflection chamber comprising a first spherical mirror and a second spherical mirror, and a method for determining a light spot distribution from the first A spherical mirror is injected into the multi-reflection air chamber, and is emitted after multiple reflections between the first spherical mirror and the second spherical mirror, and the light is suitable for forming a light spot distribution pattern on the spherical mirror; the method includes: determining the The radius of curvature and the diameter of the mirror surface of the first spherical mirror and the second spherical mirror are determined, and an optical model of the multi-reflection chamber is established based on the radius of curvature and the diameter of the mirror surface, so as to determine the path of light in the multi-reflection chamber according to the optical model, so The path information includes the number of reflections of the light between the first spherical mirror and the second spherical mirror and the spot distribution pattern formed by the light on the first spherical mirror and the second spherical mirror; set the relative relationship between the first spherical mirror and the second spherical mirror. distance range, and build a relative distance array based on a predetermined distance interval; for each relative distance value in the relative distance array, set the light rays to be incident at the coordinates of the predetermined initial incident point and the predetermined initial incident angle respectively, and according to the optical model determining the path of the light in the multi-reflection chamber under this condition; selecting the path with the number of reflections within the range of the number of reflections in a predetermined range and the spot spacing within the range of the predetermined spot spacing in the light spot distribution pattern as a candidate path; and for the A candidate path set is generated from all the candidate paths within the relative distance range, and a light spot distribution pattern corresponding to each candidate path in the candidate path set is obtained to generate a candidate light spot pattern set.

Optionally, in the method for determining the light spot distribution in the multi-reflection chamber according to the present invention, the step of setting the light rays to be incident at the coordinates of the predetermined initial incident point and the predetermined initial incident angle respectively includes: setting the first initial incident point of the light rays. coordinates and the first initial incident angle, and respectively construct the initial incident point coordinate array and the initial incident angle array based on the predetermined coordinate difference value and the predetermined angle interval; Each initial angle of incidence in the array of initial incidence angles is incident.

Optionally, in the method for determining the distribution of light spots in a multi-reflection chamber according to the present invention, the path information includes the coordinates of the exit point of the light; the step of selecting a candidate path includes: selecting the number of reflections within a predetermined number of reflections. Within the range, in the light spot pattern, the light spot spacing is within a predetermined light spot spacing range, and the path of the exit point coordinate is the same as the predetermined initial incident point coordinate as the candidate path.

Optionally, in the method for determining the light spot distribution in the multi-reflection chamber according to the present invention, the optical model is a spherical equation established based on the spherical surface where the first spherical mirror and the second spherical mirror are located, and the determined light path The steps include: based on the incident point coordinates, incident angle, and the spherical equation of this incident light incident from the first spherical mirror, calculating the current intersection coordinates of the incident light rays and the second spherical mirror, and determining the The reflection angle of this reflected light after the second spherical mirror is described; the reflected light is taken as the next incident light from the second spherical mirror, and the coordinates of the intersection and the reflection angle of the reflected light are taken as the incident light from the second spherical mirror. The incident point coordinates and incident angle of the next incident ray incident on the second spherical mirror; based on the incident point coordinates and incident angle of the next incident ray and the spherical equation, calculate the next incident ray and the first spherical mirror. The coordinates of the first intersection point are determined, and the reflection angle of the next reflected light after being reflected by the first spherical mirror is determined; after determining that the light rays are emitted through the spherical mirror, based on the determined coordinates of the multiple intersection points, it is determined that the light rays are located between the first spherical mirror and the The light spot distribution pattern formed on the second spherical mirror.

Optionally, in the method for determining the light spot distribution in the multi-reflection gas chamber according to the present invention, the range of the relative distance d is d≤2R, where R is the radius of curvature of the first spherical mirror and the second spherical mirror.

Optionally, in the method for determining the light spot distribution in the multi-reflection chamber according to the present invention, the predetermined distance interval is 1 mm.

Optionally, in the method for determining the light spot distribution in the multi-reflection gas chamber according to the present invention, the predetermined number of reflection times ranges from 6 to 1000 times.

Optionally, in the method for determining the light spot distribution in the multi-reflection gas chamber according to the present invention, the predetermined range of the light spot spacing is not less than 1 mm.

Optionally, in the method for determining the light spot distribution in the multi-reflection gas chamber according to the present invention, the first spherical mirror and the second spherical mirror are arranged coaxially and symmetrically, and the curvature radii of the first spherical mirror and the second spherical mirror are the sum of The mirror diameters are all the same.

Optionally, in the method for determining the distribution of light spots in a multi-reflection chamber according to the present invention, the method further includes the steps of: determining a stable interval of the coordinates of the exit point; determining the coordinate of the exit point corresponding to each candidate path in the set of candidate paths; corresponding relative distance; setting a first stability index corresponding to the relative distance; determining a real-time relative distance based on the relative distance and the first stability index, and determining a first real-time path of light in the multi-reflection chamber based on the real-time relative distance , determine the coordinates of the first real-time exit point of the light according to the first real-time path; determine whether the coordinates of the first real-time exit point are within the stable interval, and if so, take the corresponding candidate path as the first stable path, and generating a first stable path set for all the first stable paths in the candidate path set; acquiring a light spot distribution pattern corresponding to each first stable path in the first stable path set, and generating a first stable light spot pattern set.

Optionally, in the method for determining the distribution of light spots in a multi-reflection chamber according to the present invention, the method further includes the steps of: determining a stable interval of the coordinates of the exit point; determining the coordinate of the exit point corresponding to each candidate path in the set of candidate paths; Corresponding initial incident angle; setting a second stabilization index corresponding to the initial incident angle; determining a real-time initial incident angle based on the initial incident angle and the second stabilization index, and determining the light in the multi-reflection chamber based on the real-time initial incident angle the second real-time path, determine the coordinates of the second real-time exit point of the light according to the second real-time path; determine whether the coordinates of the second real-time exit point are within the stable interval, and if so, take the corresponding candidate path as a second stable path, and generate a second stable path set for all the second stable paths in the candidate path set; acquire the light spot distribution pattern corresponding to each second stable path in the second stable path set, and generate a second stable path A collection of stabilized flare patterns.

Optionally, in the method for determining the distribution of light spots in a multi-reflection gas chamber according to the present invention, the method further includes the step of: acquiring all the stable paths included in the first stable path set and the second stable path set, so as to generate a target stable path. Path set; acquire the light spot distribution pattern corresponding to each stable path in the target stable path set, and generate a target stable light spot pattern set.

According to one aspect of the present invention, there is provided a computing device comprising: at least one processor; and a memory storing program instructions, wherein the program instructions are configured to be adapted to be executed by the at least one processor, the The program instructions include instructions for performing the methods described above.

According to one aspect of the present invention, there is provided a readable storage medium storing program instructions, which when read and executed by a computing device, cause the computing device to perform the method as described above.

According to the technical solution of the present invention, a method for determining the light spot distribution in a multi-reflection chamber is provided. Based on the structure and principle of the multiple-reflection chamber, an optical model of the corresponding multiple-reflection chamber is established, and light rays are traced based on the optical model. path to determine the spot distribution of light on the spherical mirror. Specifically, for each set relative distance value, the light rays are set to be incident at a predetermined initial incident point coordinate and a predetermined initial incident angle, and the path of the light rays and the corresponding light spot distribution pattern are determined. In addition, the present invention sets a predetermined range of reflection times and a predetermined spot spacing range based on optical path transmission stability, and selects all candidate paths that meet the conditions based on the predetermined reflection times range and predetermined spot spacing range to generate a candidate path set. By acquiring the candidate light spot pattern corresponding to each candidate path, a set of candidate light spot patterns can be obtained. In practical applications, the most suitable light spot distribution pattern is selected according to the set of candidate light spot patterns determined by the technical solution of the present invention, and the relevant parameters of the multi-reflection chamber are set based on the determined light spot distribution pattern, which can ensure the transmission of the light path. stability. Under the condition of ensuring the transmission stability of the optical path, by selecting a path with a higher number of reflections and a longer total optical path among the candidate paths, the sensitivity of the multi-anti-gas chamber in practical spectral detection applications and the sensitivity of the detectable concentration can be improved. scope.

Further, the present invention also considers the stability of the light exit point on the basis of determining the candidate path, and determines the target stable path set and the target stable light spot pattern set by setting the stability index and the stability interval. Based on the target stable path set and target stable spot pattern set, it is beneficial to select the path and spot distribution pattern with higher stability in practical applications, and set the corresponding parameters in the multi-reflection chamber to ensure that the actual spectrum detection through the multi-reflection chamber is used. Stability in application.

The above description is only an overview of the technical solutions of the present invention, in order to be able to understand the technical means of the present invention more clearly, it can be implemented according to the content of the description, and in order to make the above and other purposes, features and advantages of the present invention more obvious and easy to understand , the following specific embodiments of the present invention are given.

Description of drawings

To achieve the above and related objects, certain illustrative aspects are described herein in conjunction with the following description and drawings, which are indicative of the various ways in which the principles disclosed herein may be practiced, and all aspects and their equivalents are intended to be within the scope of the claimed subject matter. The above and other objects, features and advantages of the present disclosure will become more apparent by reading the following detailed description in conjunction with the accompanying drawings. Throughout this disclosure, the same reference numbers generally refer to the same parts or elements.

FIG. 1 shows a schematic diagram of a computing device 100 according to an embodiment of the present invention;

FIG. 2 shows a schematic structural diagram of a multiple anti-gas chamber 200 according to an embodiment of the present invention;

FIG. 3 shows a schematic flowchart of a method 300 for determining a light spot distribution in a multi-reflection chamber according to an embodiment of the present invention;

4 shows a schematic diagram of an incident angle of incident light rays according to an embodiment of the present invention;

5 to 7 respectively show schematic diagrams of light spot distribution patterns formed by a method for determining light spot distribution in a multi-gas chamber according to an embodiment of the present invention.

Detailed ways

Exemplary embodiments of the present disclosure will be described in more detail below with reference to the accompanying drawings. While exemplary embodiments of the present disclosure are shown in the drawings, it should be understood that the present disclosure may be embodied in various forms and should not be limited by the embodiments set forth herein. Rather, these embodiments are provided so that the present disclosure will be more thoroughly understood, and will fully convey the scope of the present disclosure to those skilled in the art.

In the technical solution according to the present invention, by establishing an optical model of the multi-reflection chamber in the computing device, the method 300 for determining the light spot distribution in the multiple-reflection chamber is implemented by using the computing device. By determining the candidate paths of the light rays that meet the predetermined conditions and their corresponding light spot distribution patterns, and based on the candidate light spot distribution patterns, the relevant parameters of the multi-anti-air chamber in the application of spectral detection are designed. An example of a computing device is first shown below.

FIG. 1 is a schematic block diagram of an example computing device 100 .

As shown in FIG. 1 , in a basic configuration 102 , computing device 100 typically includes system memory 106 and one or more processors 104 . The memory bus 108 may be used for communication between the processor 104 and the system memory 106 .

Depending on the desired configuration, the processor 104 may be any type of process including, but not limited to, a microprocessor (μP), a microcontroller (μC), a digital information processor (DSP), or any combination thereof. Processor 104 may include one or more levels of cache, such as L1 cache 110 and L2 cache 112 , processor core 114 , and registers 116 . Exemplary processor cores 114 may include arithmetic logic units (ALUs), floating point units (FPUs), digital signal processing cores (DSP cores), or any combination thereof. The exemplary memory controller 118 may be used with the processor 104 , or in some implementations, the memory controller 118 may be an internal part of the processor 104 .

Depending on the desired configuration, system memory 106 may be any type of memory including, but not limited to, volatile memory (such as RAM), non-volatile memory (such as ROM, flash memory, etc.), or any combination thereof. System memory 106 may include operating system 120 , one or more applications 122 , and program data 124 . In some embodiments, applications 122 may be arranged to execute instructions using program data 124 by one or more processors 104 on an operating system.

Computing device 100 may also include an interface bus 140 that facilitates communication from various interface devices (eg, output device 142 , peripheral interface 144 , and communication device 146 ) to base configuration 102 via bus/interface controller 130 . Example output devices 142 include graphics processing unit 148 and audio processing unit 150 . They may be configured to facilitate communication via one or more A/V ports 152 with various external devices such as displays or speakers. Example peripheral interfaces 144 may include serial interface controller 154 and parallel interface controller 156, which may be configured to facilitate communication via one or more I/O ports 158 and input devices such as keyboard, mouse, pen , voice input devices, touch input devices) or other peripherals (eg printers, scanners, etc.) The example communication device 146 may include a network controller 160 that may be arranged to facilitate communication via one or more communication ports 164 with one or more other computing devices 162 over a network communication link.

A network communication link may be one example of a communication medium. Communication media may typically embody computer readable instructions, data structures, program modules in a modulated data signal such as a carrier wave or other transport mechanism, and may include any information delivery media. A "modulated data signal" may be a signal of which one or more of its data sets or changes may be made in such a way as to encode information in the signal. By way of non-limiting example, communication media may include wired media, such as wired or leased line networks, and various wireless media, such as acoustic, radio frequency (RF), microwave, infrared (IR), or other wireless media. The term computer readable medium as used herein may include both storage media and communication media.

Computing device 100 may be implemented as a personal computer including a desktop computer and a notebook computer configuration. Of course, computing device 100 may also be implemented as part of a small form factor portable (or mobile) electronic device such as a cellular telephone, digital camera, personal digital assistant (PDA), personal media player device, wireless web browsing device , personal headsets, application-specific devices, or hybrid devices that can include any of the above. It can even be implemented as a server, such as a file server, database server, application server, and WEB server. The embodiments of the present invention do not limit this.

In an embodiment according to the present invention, the computing device 100 is configured to perform a method 300 of determining a light spot distribution within a multi-reflection plenum according to the present invention. Wherein, the application 122 of the computing device 100 includes a plurality of program instructions for executing the method 300 of determining the light spot distribution in a multi-gas chamber according to the present invention.

It should be noted that, the method 300 for determining the light spot distribution in the multi-reflection chamber of the present invention is to establish an optical model of the multi-reflection chamber according to the embodiment of the present invention, and trace the path of the light based on the optical model to obtain Determine the light spot distribution in the multi-reflection chamber.

Wherein, FIG. 2 shows a schematic structural diagram of a multi-gas chamber 200 according to an embodiment of the present invention.

As shown in FIG. 2 , the multi-reflection gas chamber 200 includes two spherical mirrors arranged coaxially and symmetrically, namely a first spherical mirror 210 and a second spherical mirror 220 . A reflection chamber 250 is formed between the first spherical mirror 210 and the second spherical mirror 220 . The first spherical mirror 210 is provided with an incident hole 211 , and the light is suitable for entering the reflection chamber 250 of the multi-reflection chamber from the incident hole 211 , and the light will pass between the first spherical mirror 210 and the second spherical mirror 220 for multiple times. Sub-reflection, each reflection will generate reflection spots on the first spherical mirror 210 and the second spherical mirror 220 . After multiple reflections, the light exits the reflection chamber 250 through the first spherical mirror 210 or the second spherical mirror 220 .

It should be noted that, according to the structure and principle of the multi-reflection chamber 200 in the embodiment of the present invention, after the light is reflected multiple times in the reflection chamber 250 of the multi-reflection chamber, the multiple reflection spots generated on the spherical mirror are in the form of reflections. A certain regular distribution, and the specific shape of the light spot distribution pattern is related to the relative distance between the two spherical mirrors, the coordinates of the incident point of the light, and the incident angle of the light.

Based on the structure and principle of the multi-reverse gas chamber 200, the present invention provides a method 300 for determining the light spot distribution in the multi-reverse gas chamber. In the method 300, based on the structure and principle of the multi-reflection chamber 200, after determining the radius of curvature and the diameter of the mirror surface of the first spherical mirror 210 and the second spherical mirror 220 in the multi-reflection chamber 200, a program is written in the Matlab language to create a The optical model corresponding to the multi-reflection air chamber 200, so that the computing device can execute the method 300 of the light spot distribution in the multi-reflection air chamber of the present invention through a plurality of program instructions. Here, the present invention is not limited to using Matlab software to write programs, and all programming software in the prior art that can realize the establishment of an optical model of a multi-reflection gas chamber are within the protection scope of the present invention.

FIG. 3 shows a schematic flowchart of a method 300 for determining a light spot distribution in a multi-reflection chamber according to an embodiment of the present invention. As shown in FIG. 3, the method 300 begins at step S310.

In step S310, the radius of curvature and the diameter of the mirror surface of the first spherical mirror and the second spherical mirror of the multi-reflection chamber 200 are determined first. Based on the curvature radius and mirror diameter of the two spherical mirrors, the optical model of the multi-reflection gas chamber is established. Here, the optical model is established based on the structure and principle of the multi-reflection chamber 200, so that the optical model can trace the path of the light in the multi-reflection chamber 200 based on the structure of the multiple-reflection chamber, that is, tracing After the light enters the multi-reflection chamber 200 through the first spherical mirror 210, the light is reflected multiple times between the first spherical mirror 210 and the second spherical mirror 220 until it exits the path. The path information includes the number of reflections of the light between the first spherical mirror and the second spherical mirror, and the light spot distribution pattern formed by the light on the first spherical mirror and the second spherical mirror. In addition, the path information also includes the coordinates of the initial incident point of the light and the coordinates of the reflection point.

Subsequently, in step S320, a relative distance range between the first spherical mirror 210 and the second spherical mirror 220 is set, and a relative distance array is constructed based on a predetermined distance interval.

Here, after the relative distance array is constructed based on the relative distance range and the predetermined distance interval, each relative distance value may be sequentially obtained from the relative distance array. Thus, the path of light rays in the multi-reflection chamber can be traced and determined for different relative distance values between the two spherical mirrors.

In one embodiment, based on the structure and principle of the multi-reflection chamber 200, and considering the stability and practicability of optical path transmission, the present invention sets the value of the relative distance d between the first spherical mirror 210 and the second spherical mirror 220. The range is d≤2R (R is the radius of curvature of the first spherical mirror and the second spherical mirror). On this basis, an array of relative distances between the first spherical mirror and the second spherical mirror is established according to a predetermined distance interval. The predetermined distance interval is, for example, 1 mm. Here, the present invention is not limited to the value of the predetermined distance interval, and the specific value of the predetermined distance interval can be set by those skilled in the art according to the actual situation. In this way, in this embodiment, the relative distance array {d _n } can be constructed based on the minimum value (1 mm), the maximum value (2Rmm) and the predetermined distance interval (1 mm) of the relative distance d. d _n is the relative distance value in the distance array {d _n }, wherein the values of d _n are: 1mm, 2mm, 3mm...(2R-1)mm, 2Rmm.

It should be pointed out that, based on the principle of the multi-reflection chamber 200, when the relative distance between the two spherical mirrors is a certain value, the more times the light is reflected in the reflection chamber, the longer the total optical path. However, in practical applications, the stability of optical transmission also needs to be considered. When the number of reflections is too many, the reflected light is too dense, which will easily cause interference between the reflected light, resulting in energy loss and periodic interference signals; when the number of reflections is too small, the reflected light is too sparse, although there is no difference between the reflected light. Interference phenomenon will occur, but the total optical path will be too short, which will affect the spectral detection sensitivity and detectable concentration range in practical applications.

In one embodiment, based on the structure and principle of the multi-reflection chamber 200 and comprehensively considering the stability and practicability of optical path transmission, it is determined that the predetermined number of times of reflection of light in the reflection chamber 250 ranges from 6 to 1000 times. In addition, in order to avoid the overlapping of the light spots on the spherical mirror to form interference fringes, the minimum distance between two adjacent light spots on the spherical mirror is set to 1mm, that is, the predetermined range of the spot distance determined by the present invention is not less than 1mm.

Subsequently, in step S330, for each relative distance value d _n in the relative distance array {d _n }, set the light rays to be incident from the first spherical mirror 210 at the coordinates of the predetermined initial incident point and the predetermined initial incident angle respectively, and according to the optical The model determines the path of light within the multi-reflection plenum 200 under this condition.

It should be noted that, based on similar principles, the present invention comprehensively considers the stability and practicability of optical path transmission to construct the initial incident point coordinate array and the initial incident angle array of light, so as to obtain each of the initial incident point coordinate arrays in turn. The coordinates of the initial incident point are taken as the coordinates of the predetermined initial incident point, and each initial incident angle is sequentially acquired from the initial incident angle array as the predetermined initial incident angle. It should be understood that when the relative distance between the two spherical mirrors is set as each relative distance value in the relative distance array, the rays are respectively set to the coordinates of each predetermined initial incident point and each predetermined initial incident point obtained by the above method. angular incidence. In this way, for each relative distance value set by the two spherical mirrors, all initial incident point coordinates in the initial incident point coordinate array and all initial incident angles in the initial incident angle array are set for the light rays, and the tracing is based on the The path of light in the multi-reflection chamber under the set conditions.

Specifically, the method for constructing the coordinate array of the initial incident point of the light rays is performed according to the following steps: first, the first initial incident angle of the light rays and the predetermined angle interval are set. Further, an array of initial incident angles is constructed based on the first initial incident angle and the predetermined angular interval. Correspondingly, the method for constructing the array of initial incident angles of light rays is performed according to the following steps: firstly, the coordinates of the first initial incident point of the light rays and the predetermined coordinate difference are determined. Furthermore, an array of coordinates of the initial incident point is constructed based on the difference between the coordinates of the first initial incident point of the light and the predetermined coordinate. In this way, for each relative distance value, the rays are set to be incident at each initial incident point coordinate in the initial incident point coordinate array and each initial incident angle in the initial incident angle array respectively.

According to one embodiment, the optical model is a spherical equation established based on the spherical surface on which the first spherical mirror and the second spherical mirror are located. The method of determining the path of light within the multi-reflection chamber is further performed as follows:

Based on the coordinates of the incident point, the incident angle, and the spherical equation of the incident light incident from the first spherical mirror, the coordinates of the intersection point of the incident light and the second spherical mirror are calculated, and the reflected light from the second spherical mirror is determined. The reflection angle of the secondary reflected light;

Taking this reflected ray as the next incident ray incident from the second spherical mirror, and taking the coordinates of this intersection point and the reflection angle of this reflected ray as the incident point coordinate and incident angle of the next incident ray incident from the second spherical mirror, respectively;

Based on the incident point coordinates and incident angle of the next incident ray and the spherical equation, calculate the coordinates of the next intersection point of the next incident ray and the first spherical mirror, and determine the reflection angle of the next reflected ray after being reflected by the first spherical mirror;

By repeating the above steps until it is determined that the light is emitted from the multi-reflection chamber through the spherical mirror (the first spherical mirror or the second spherical mirror), the complete path of the light in the multi-reflection chamber can be determined.

It should be noted that after determining that the light rays are emitted through the spherical mirror, the final light spot distribution pattern formed by the light rays on the first spherical mirror and the second spherical mirror is determined based on the determined coordinates of the multiple intersection points.

According to an embodiment of the present invention, the first spherical mirror 210 and the second spherical mirror 220 have the same curvature radius and mirror diameter. Here, the present invention does not limit the specific numerical values of the radius of curvature and the diameter of the mirror surface of the first spherical mirror 210 and the second spherical mirror 220 . It should be noted that, in other embodiments, the first spherical mirror 210 and the second spherical mirror 220 can also have different curvature radii and mirror diameters, and can also calculate the light spot formed on the spherical mirror according to an embodiment of the present invention. The distribution pattern method is used to determine the spot distribution pattern. Here, other embodiments will not be described in detail.

According to an embodiment, the first spherical mirror 210 and the second spherical mirror 220 of the multi-reflection gas chamber 200 have the same curvature radius and mirror diameter, and the two spherical mirrors are arranged coaxially and symmetrically.

As shown in FIG. 2 , the positional relationship of the two spherical mirrors of the multi-reflection chamber 200 is represented by spatial coordinates, and the first spherical mirror 210 is provided with an incident hole 211 at the position of x=0. Referring to Fig. 4, incident light rays are incident from the aperture at angles Θ (angle with the y-axis in the yz plane) and φ (angle with the x-axis in the xz plane). The radius of curvature of the two spherical mirrors is R, the mirror radius is R _mir , and the relative distance is d. The centers of the first spherical mirror 210 and the second spherical mirror 220 are located at z=-d/2 and z=d/2, respectively. The light is incident into the multi-reflection chamber 200 through the incident hole 211, and after N times of reflection under a predetermined condition, it is emitted from the exit hole 222 with a radius of R _hole . The center coordinates of the exit hole 222 are P _hole =[X _hole , Y _hole , Z _hole ].

It should be noted that the exit hole 222 can be disposed on the first spherical mirror 210 or the second spherical mirror 220 , the light enters the multi-reflection chamber from the incident hole 211 , and performs N times between the first spherical mirror 210 and the second spherical mirror 220 After reflection, it is emitted from the exit hole 222 .

When the re-entry condition is satisfied, the exit hole 222 is disposed on the first spherical mirror 210 and coincides with the entrance hole 211 . That is to say, the light enters the multi-reflection chamber from the incident hole 211 , and is reflected N times between the first spherical mirror 210 and the second spherical mirror 220 , and then exits from the incident hole 211 .

Furthermore, the light spot distribution on the spherical mirror is calculated by the algebraic method of intersection of the light and the sphere.

其中上标i代表第i次反射，

和

分别为第i次反射的入射点坐标和入射方向向量。Specifically, let the incident light be

where the superscript i represents the ith reflection,

and

are the incident point coordinates and incident direction vector of the i-th reflection, respectively.

Here, the incident angles θ and φ are written in the form of a direction vector r ⁽ⁱ⁾ , where r ⁽ⁱ⁾ is a unit vector.

球面上各点坐标为

所建立的球的约束方程为

应当指出的是，奇数次反射和偶数次反射对应的球面镜不同，因此，对应的球心坐标也会如下发生变化：Establish the equation of the sphere where the spherical mirror is located, and set the coordinates of the center of the sphere as

The coordinates of each point on the sphere are

The constraint equation of the established ball is

It should be pointed out that the spherical mirrors corresponding to odd-numbered reflections and even-numbered reflections are different, so the corresponding spherical center coordinates will also change as follows:

Substituting the incident ray into the constraint equation of the sphere can be obtained:

in,

Equation (2) is a quadratic equation in one variable, and its solution is:

When the discriminant formula B ² -4C<0, it means that the light ray has no intersection with the spherical mirror. In a multi-anti-air chamber, the larger positive root is far from the point where the light source intersects the spherical mirror. When the time t is calculated, the intersection of the actual incident light and the spherical mirror, the normal vector of the intersection and the reflection direction vector of the light are respectively:

Here, the coordinates of each reflection point and the reflection direction vector of the reflected light can be regarded as the coordinates of the incident point of the next reflection and the direction vector of the incident light. Therefore, it can be written in a recursive form:

The light is reflected back and forth in the multi-reflection chamber. When the N-1 reflection reaches the spherical mirror with the exit hole, if the coordinates of the light on the spherical mirror meet the conditions:

Then the light will be transmitted from the exit hole.

If the light can be stably reflected in the multi-reflection chamber, the conditions must be met:

Subsequently, in step S340 , a path in the light path with the number of reflections within the range of the predetermined number of reflections and the spot spacing within the predetermined spot spacing range in the light spot distribution pattern is selected as a candidate path. Here, the path of the light includes the path of the light determined based on the predetermined distance value, the coordinates of the predetermined initial incident point and the predetermined initial incident angle parameters of each setting. The light spot distribution pattern is a collection of all light spots formed by the reflection of light on the first spherical mirror and the second spherical mirror, and the light spot spacing includes the distance between any two adjacent light spots in the light spot distribution pattern. As mentioned above, the range of the predetermined number of reflections is 6 to 1000 times, and the range of the predetermined spot spacing is not less than 1 mm.

Finally, in step S350, a candidate path set is generated for all candidate paths within the relative distance range, and a spot distribution pattern corresponding to each candidate path in the candidate path set is obtained to generate a candidate spot pattern set.

It should be pointed out that, based on each set relative distance value, predetermined initial incident point coordinates and predetermined initial incident angle parameters, the determined light ray path corresponds to a light spot distribution pattern respectively. According to the preset range of the number of reflections and the preset range of the spot spacing, a path that meets the conditions is determined as a candidate path, and each candidate path also corresponds to a candidate spot pattern. The set of candidate light spot patterns is the set of light spot distribution patterns determined according to the technical solution of the present invention. In practical applications, the most suitable light spot distribution pattern is selected according to the set of candidate light spot patterns determined by the technical solution of the present invention, and the relevant parameters of the multi-reflection chamber are set based on the determined light spot distribution pattern, which can ensure the transmission of the light path. stability. Under the condition of ensuring the transmission stability of the optical path, by selecting a path with a higher number of reflections and a longer total optical path among the candidate paths, the sensitivity of the multi-anti-gas chamber in practical spectral detection applications and the sensitivity of the detectable concentration can be improved. scope.

According to one embodiment, the method for selecting a candidate path further includes the steps of: selecting a path with a number of reflections within a range of a predetermined number of reflections, a spot spacing in the spot pattern within a predetermined spot spacing range, and the coordinates of the exit point being the same as the coordinates of the predetermined initial incident point as a candidate path. Here, when selecting a candidate path, it is further defined that the coordinates of the exit point in the path are the same as the coordinates of the predetermined initial entrance point, which ensures that the selected candidate path satisfies the re-entry condition, that is, the exit point coincides with the entrance point. In practical applications, after selecting a candidate path based on the set of candidate paths that satisfy the re-entry condition, the initial incident point coordinates of the light and the corresponding incident hole are set based on the determined candidate path, so that the light can be injected from the incident hole into the multi-reflection gas. It is emitted from the incident hole after multiple reflections in the multi-reflection chamber.

In an embodiment according to the present invention, the path information further includes an optical path corresponding to the path. By establishing the correspondence between the optical path, the spot distribution pattern, the relative distance, the initial incident angle, and the coordinates of the initial incident point for each candidate path, a correspondence list is generated, so that the spot distribution pattern and the light can be analyzed according to the correspondence list. In order to select the most suitable light spot distribution pattern in practical applications, and set the relevant parameters of the multi-reflection gas chamber according to the light spot distribution pattern.

In one embodiment, the radius of curvature R of the first spherical mirror and the second spherical mirror are both 100 mm, and the diameter D of the mirror surface is both 50.8 mm.

When the relative distance d between the two spherical mirrors is 106mm, the light is traced by determining other parameters, and the spot distribution result determined based on the above method is the petal-shaped spot distribution pattern shown in FIG. 5 . In addition, the volume of the multi-reflection air chamber is 330.0 cm ³ , the light is reflected 138 times between the two spherical mirrors, and an effective optical path of 14.6 meters can be realized.

When the relative distance between the two spherical mirrors is 107mm, the rays are traced by determining other parameters. The light spot distribution pattern determined based on the above algorithm is shown in FIG. 6 . In addition, the volume of the multi-reflection air chamber is 332.1 cm ³ , the light is reflected 183 times between the two spherical mirrors, and an effective optical path with a length of 19.7 m can be realized.

It can be seen that the light spot distribution patterns shown in Fig. 5 and Fig. 6 are both petal-shaped, and the difference between the two is that the number of petals included in the light spot distribution pattern is different. The pattern shown in Fig. 5 includes 6 petals, and Fig. 6 shows The resulting pattern includes 10 petals.

In addition, when the relative distance d of the two spherical mirrors is 123mm, the light is traced by determining other parameters, and the spot distribution result determined based on the above algorithm is the seven circular spot distribution patterns shown in FIG. 7 . In addition, the volume of the multi-reflection air chamber is 364.5cm ³ , the light is reflected 231 times between the two spherical mirrors, and an effective optical path of 28.4 meters can be realized.

Based on the above embodiments, it can be known that different light spot distribution patterns can be formed on the spherical mirror by adjusting the relative distance between the two spherical mirrors, the position of the incident point of the light, and the incident angle of the light. The parameters corresponding to each spot distribution pattern are shown in Table 1. From Table 1, it can be seen that the multi-reflection chamber corresponding to the seven circular spot distribution patterns can achieve the relatively highest number of reflections and optical path, and the effective optical path can reach 28.4 meters.

Table 1

In addition, since the multi-reflection chamber 200 will be affected by factors such as the temperature of the environment in practical applications, the relative distance between the two spherical mirrors and the actual value of the incident angle of light will deviate from the theoretical value. Therefore, in the embodiment according to the present invention, the stability of the light exit point is also considered and analyzed. By setting the stability index, the stability of all candidate paths in the candidate path set is detected based on the stability index, so as to determine the stable path and the corresponding stable light spot distribution pattern. The stability index includes a first stability index related to the relative distance between the first spherical mirror and the second spherical mirror, and a second stability index related to the initial incident angle of the light. It should be noted that the first stability index and the second stability index can be understood as the deviation values respectively set by the present invention for the relative distance between the two spherical mirrors and the initial incident angle of light.

In addition, the basis for judging the stability of the exit point also needs to determine the stable interval of the coordinates of the exit point. Here, the specific setting of the stable interval is related to the position and size of the exit hole in practical applications, so according to the technical solution of the present invention, the In practical applications, whether the light can be emitted from the original exit hole when there is a deviation between the predetermined distance and the initial incident angle. That is to say, in the case of changing the relative distance and the initial incident angle (theoretical value) corresponding to the candidate path based on the stability index set in the present invention, if the actual exit point coordinates corresponding to the actual path of the light obtained after the change are in Within the stable interval, it means that the candidate path meets the stability standard and can be used as a stable path, and the light spot distribution pattern corresponding to the stable path is used as a stable light spot distribution pattern. Otherwise, it means that the candidate path does not meet the stability criterion.

According to one embodiment, the method of determining a stable path and a stable cursor distribution pattern is performed according to the following steps:

Determine the stable interval of the coordinates of the exit point, and determine the coordinates of the exit point corresponding to each candidate path in the candidate path set, the corresponding relative distance, and the initial incident angle.

A first stability index corresponding to the relative distance and a second stability index corresponding to the initial incident angle are set.

The real-time relative distance is determined based on the relative distance and the first stability index, the first real-time path of the light in the multi-reflection chamber is determined based on the real-time relative distance, and the coordinates of the first real-time exit point of the light are determined according to the first real-time path. Determine whether the coordinates of the first real-time exit point are within the stable interval, and if so, take the corresponding candidate path as the first stable path, and generate a first stable path set for all the first stable paths in the candidate path set. Acquire a light spot distribution pattern corresponding to each first stable path in the first stable path set, and generate a first stable light spot pattern set.

and, determining a real-time initial incident angle based on the initial incident angle and the second stability index, and determining a second real-time path of the light in the multi-reflection chamber based on the real-time initial incident angle, and determining a second real-time exit point of the light according to the second real-time path coordinate. Determine whether the coordinates of the second real-time exit point are within the stable interval, and if so, take the corresponding candidate path as the second stable path, and generate a second stable path set for all second stable paths in the candidate path set. Acquire a light spot distribution pattern corresponding to each second stable path in the second stable path set, and generate a second stable light spot pattern set.

It should be understood that the first stable path set and the first stable light spot pattern set are the results obtained by satisfying the first stability index corresponding to the relative distance. The second stable path set and the second stable light spot pattern set are the results obtained by satisfying the second stability index corresponding to the initial incident angle.

Furthermore, the final target stable path set is generated by acquiring all stable paths included in the first stable path set and the second stable path set. Correspondingly, the target stable light spot pattern set is generated by acquiring the light spot distribution pattern corresponding to each stable path in the target stable path set. The target stable path set and the target stable light spot pattern set are the results obtained when both the first stability index and the second stability index are satisfied.

Based on the determined target stable path set and target stable spot pattern set, it is beneficial to select a more stable path and spot distribution pattern in practical applications, and set the relative distance of the corresponding spherical mirror, the coordinates of the initial incident point of the light, and the initial incident light. Angle and other parameters to ensure the stability of the actual spectral detection application through the multi-reflection chamber.

The various techniques described herein can be implemented in conjunction with hardware or software, or a combination thereof. Thus, the method and apparatus of the present invention, or certain aspects or portions of the method and apparatus of the present invention, may take the form of an embedded tangible medium, such as a removable hard disk, a USB stick, a floppy disk, a CD-ROM, or any other machine-readable storage medium. in the form of program code (ie, instructions) that, when the program is loaded into a machine, such as a computer, and executed by the machine, the machine becomes an apparatus for practicing the invention.

Where the program code is executed on a programmable computer, the computing device typically includes a processor, a storage medium readable by the processor (including volatile and nonvolatile memory and/or storage elements), at least one input device, and at least one output device. The memory is configured to store program codes; the processor is configured to execute the data storage method and/or the data query method of the present invention according to the instructions in the program code stored in the memory.

By way of example and not limitation, readable media include readable storage media and communication media. Readable storage media store information such as computer readable instructions, data structures, program modules or other data. Communication media typically embodies computer readable instructions, data structures, program modules or other data in a modulated data signal such as a carrier wave or other transport mechanism and includes any information delivery media. Combinations of any of the above are also included within the scope of readable media.

In the specification provided herein, the algorithms and displays are not inherently related to any particular computer, virtual system, or other device. Various general purpose systems may also be used with examples of the present invention. The structure required to construct such a system is apparent from the above description. Furthermore, the present invention is not directed to any particular programming language. It is to be understood that various programming languages may be used to implement the inventions described herein, and that the descriptions of specific languages above are intended to disclose the best mode for carrying out the invention.

In the description provided herein, numerous specific details are set forth. It will be understood, however, that embodiments of the invention may be practiced without these specific details. In some instances, well-known methods, structures and techniques have not been shown in detail in order not to obscure an understanding of this description.

Similarly, it is to be understood that in the above description of exemplary embodiments of the invention, various features of the invention are sometimes grouped together into a single embodiment, figure, or its description. This disclosure, however, should not be interpreted as reflecting an intention that the invention as claimed requires more features than are expressly recited in each claim. Rather, as the following claims reflect, inventive aspects lie in less than all features of a single foregoing disclosed embodiment. Thus, the claims following the Detailed Description are hereby expressly incorporated into this Detailed Description, with each claim standing on its own as a separate embodiment of this invention.

Those skilled in the art will appreciate that the modules or units or components of the apparatus in the examples disclosed herein may be arranged in the apparatus as described in this embodiment, or alternatively may be positioned differently from the apparatus in this example in one or more devices. The modules in the preceding examples may be combined into one module or further divided into sub-modules.

Those skilled in the art will understand that the modules in the device in the embodiment can be adaptively changed and arranged in one or more devices different from the embodiment. The modules or units or components in the embodiments may be combined into one module or unit or component, and further they may be divided into multiple sub-modules or sub-units or sub-assemblies. All features disclosed in this specification (including accompanying claims, abstract and drawings) and any method so disclosed may be employed in any combination, unless at least some of such features and/or procedures or elements are mutually exclusive. All processes or units of equipment are combined. Each feature disclosed in this specification (including accompanying claims, abstract and drawings) may be replaced by alternative features serving the same, equivalent or similar purpose, unless expressly stated otherwise.

Furthermore, those skilled in the art will appreciate that although some of the embodiments described herein include certain features, but not others, included in other embodiments, that combinations of features of different embodiments are intended to be within the scope of the invention within and form different embodiments. For example, in the following claims, any of the claimed embodiments may be used in any combination.

Furthermore, some of the described embodiments are described herein as methods or combinations of method elements that can be implemented by a processor of a computer system or by other means for performing the described functions. Thus, a processor having the necessary instructions for implementing the method or method element forms means for implementing the method or method element. Furthermore, an element of an apparatus embodiment described herein is an example of a means for carrying out the function performed by the element for the purpose of carrying out the invention.

As used herein, unless otherwise specified, the use of the ordinal numbers "first," "second," "third," etc. to describe common objects merely refers to different instances of similar objects, and is not intended to imply such The objects being described must have a given order in time, space, ordinal, or in any other way.

While the invention has been described in terms of a limited number of embodiments, those skilled in the art will appreciate, having the benefit of the above description, that other embodiments are conceivable within the scope of the invention thus described. Furthermore, it should be noted that the language used in this specification has been principally selected for readability and teaching purposes, rather than to explain or define the subject matter of the invention. Accordingly, many modifications and variations will be apparent to those skilled in the art without departing from the scope and spirit of the appended claims. This disclosure is intended to be illustrative and not restrictive with regard to the scope of the present invention, which is defined by the appended claims.

Claims (14)

1. A method of determining a spot distribution within a multiple gas reflection chamber, performed in a computing device, the multiple gas reflection chamber comprising a first spherical mirror and a second spherical mirror, light adapted to be injected into the multiple gas reflection chamber from the first spherical mirror and to be injected after multiple reflections between the first spherical mirror and the second spherical mirror, and light adapted to form a spot distribution pattern on the spherical mirrors; the method comprises the following steps:

determining the curvature radius and the mirror surface diameter of the first spherical mirror and the second spherical mirror, and establishing an optical model of the multi-gas-reflecting chamber based on the curvature radius and the mirror surface diameter so as to determine the path of the light rays in the multi-gas-reflecting chamber according to the optical model, wherein the path information comprises the reflection times of the light rays between the first spherical mirror and the second spherical mirror and the light spot distribution pattern formed by the light rays on the first spherical mirror and the second spherical mirror;

setting a relative distance range of the first spherical mirror and the second spherical mirror, and constructing a relative distance array based on a preset distance interval;

setting light rays to be incident at a preset initial incidence point coordinate and a preset initial incidence angle respectively according to each relative distance value in the relative distance array, and determining paths of the light rays in the multiple gas reflecting chambers under the condition according to the optical model;

selecting a path of which the reflection times are within a preset reflection time range and the light spot space is within a preset light spot space range in the light spot distribution pattern as a candidate path; and

and generating a candidate path set for all candidate paths in the relative distance range, acquiring a light spot distribution pattern corresponding to each candidate path in the candidate path set, and generating a candidate light spot pattern set.

2. The method of determining a distribution of light spots within a multireflection cell as recited in claim 1, wherein the step of setting the light rays to be incident at predetermined initial incident point coordinates and predetermined initial incident angles, respectively, comprises:

setting a first initial incident point coordinate and a first initial incident angle of light, and respectively constructing an initial incident point coordinate array and an initial incident angle array based on a predetermined coordinate difference value and a predetermined angle interval;

and setting the light to be incident at each initial incidence point coordinate in the initial incidence point coordinate array and each initial incidence angle in the initial incidence angle array respectively.

3. The method of determining the spot distribution within a multireflection gas cell of claim 1 or 2, wherein the path information comprises the coordinates of the point of departure of the light; the step of selecting a candidate path comprises:

and selecting a path with the reflection times within a preset reflection time range, the spot spacing within a preset spot spacing range in the spot pattern and the coordinates of the emergent point being the same as the coordinates of the preset initial incident point as the candidate path.

4. A method of determining the distribution of light spots within a multireflection gas cell as claimed in any of claims 1 to 3 wherein the optical model is a spherical equation based on the sphere on which the first and second spherical mirrors lie and the step of determining the path of the rays comprises:

calculating the coordinates of the current intersection point of the current incident light and the second spherical mirror based on the incident point coordinates and the incident angle of the current incident light incident from the first spherical mirror and the spherical equation, and determining the reflection angle of the current reflected light reflected by the second spherical mirror;

taking the current reflection light as the next incident light incident from the second spherical mirror, and respectively taking the current intersection point coordinate and the reflection angle of the current reflection light as the incident point coordinate and the incident angle of the next incident light incident from the second spherical mirror;

calculating the next intersection point coordinate of the next incident ray and the first spherical mirror based on the incident point coordinate and the incident angle of the next incident ray and the spherical equation, and determining the reflection angle of the next reflected ray reflected by the first spherical mirror;

and after the light rays are determined to be emitted through the spherical mirror, determining the light spot distribution pattern formed by the light rays on the first spherical mirror and the second spherical mirror based on the determined coordinates of the plurality of intersection points.

5. The method of determining the spot distribution within a multireflection gas cell of any of claims 1-4, wherein:

the range of the relative distance d is that d is less than or equal to 2R, wherein R is the curvature radius of the first spherical mirror and the second spherical mirror.

6. The method of determining the spot distribution within a multireflection cell of any of claims 1-5, wherein:

the predetermined distance interval is 1 mm.

7. The method of determining the spot distribution within a multireflection gas cell of any of claims 1-6, wherein:

the predetermined number of reflections is in the range of 6-1000.

8. The method of determining the spot distribution within a multireflection cell of any of claims 1-7, wherein:

the predetermined spot pitch range is not less than 1 mm.

9. The method of determining the spot distribution within a multireflection cell of any of claims 1-8, wherein:

the first spherical mirror and the second spherical mirror are coaxially and symmetrically arranged, and the curvature radius and the mirror surface diameter of the first spherical mirror and the second spherical mirror are the same.

10. The method of determining the spot distribution within a multireflection gas cell of any of claims 1-9, further comprising the steps of:

determining a stable interval of the shooting point coordinates;

determining an exit point coordinate corresponding to each candidate path in the candidate path set and a corresponding relative distance;

setting a first stability index corresponding to the relative distance;

determining a real-time relative distance based on the relative distance and a first stability index, determining a first real-time path of the light in the multiple gas reflecting chambers based on the real-time relative distance, and determining a first real-time emergent point coordinate of the light according to the first real-time path;

judging whether the first real-time exit point coordinate is in the stable interval, if so, taking the corresponding candidate path as a first stable path, and generating a first stable path set for all first stable paths in the candidate path set;

and acquiring a light spot distribution pattern corresponding to each first stable path in the first stable path set to generate a first stable light spot pattern set.

11. The method of determining the spot distribution within a multireflection gas cell of any of claims 1-10, further comprising the steps of:

determining a stable interval of the shooting point coordinates;

determining an exit point coordinate corresponding to each candidate path in the candidate path set and a corresponding initial incident angle;

setting a second stable index corresponding to the initial incident angle;

determining a real-time initial incident angle based on the initial incident angle and a second stable index, determining a second real-time path of the light in the multiple gas reflecting chambers based on the real-time initial incident angle, and determining a second real-time emergent point coordinate of the light according to the second real-time path;

judging whether the second real-time exit point coordinate is in the stable interval, if so, taking the corresponding candidate path as a second stable path, and generating a second stable path set for all second stable paths in the candidate path set;

and acquiring a light spot distribution pattern corresponding to each second stable path in the second stable path set to generate a second stable light spot pattern set.

12. The method of determining the spot distribution within the multireflection cell of claim 11, further comprising the steps of:

acquiring all stable paths included by the first stable path set and the second stable path set to generate a target stable path set;

and acquiring a light spot distribution pattern corresponding to each stable path in the target stable path set to generate a target stable light spot pattern set.

13. A computing device, comprising:

at least one processor; and

a memory storing program instructions configured for execution by the at least one processor, the program instructions comprising instructions for performing the method of any of claims 1-12.

14. A readable storage medium storing program instructions that, when read and executed by a computing device, cause the computing device to perform the method of any of claims 1-12.

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